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Finding the Fourth Proportional to 839.63, 1,257.86 and 473.31

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Solution

The fourth proportional to 839.63, 1,257.86 and 473.31 is: 709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.63 : 1,257.86 = 473.31 : x
  2. Step 2: Convert to fraction form
    839.63/1,257.86 = 473.31/x
  3. Step 3: Cross multiply
    839.63x = 1,257.86 × 473.31
  4. Step 4: Simplify right side
    839.63x = 595,358.90
  5. Step 5: Solve for x
    x = 595,358.90/839.63
  6. Step 6: Final answer
    x = 709.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.